61. Designing Fields And Methods class file. To execute the code contained in your class that uses themath.PI constant, the JVM would not need to load class math . http://www.artima.com/designtechniques/coupling2.html

Search Java Design Jini ... Next Designing Fields and Methods How to Keep Fields Focused and Methods Decoupled by Bill Venners First Published in JavaWorld , March 1998 Page 2 of 7 Using constants Another rule of thumb to follow when creating fields is to use constants (static final variables) for constant values that are passed to, returned from, or used within methods. If a method expects one of a finite set of constant values in one of its parameters, defining constants helps make it more obvious to client programmers what needs to be passed in that parameter. Likewise, if a method returns one of a finite set of values, declaring constants makes it more obvious to client programmers what to expect as output. For example, it is easier to understand this: than it is to understand this: You should also define constants for internal use by the methods of a class even if those constants aren't used outside the class so they are easier to understand and change. Using constants makes code more flexible. If you realize you miscalculated a value and you didn't use a constant, you'll have to go through your code and change every occurrence of the hard-coded value. If you did use a constant, however, you'll only need to change it where it is defined as a constant. Constants and the Java compiler A useful thing to know about the Java compiler is that it treats static final fields (constants) differently than other kinds of fields. References to static final variables initialized to a compile-time constant are resolved at compile-time to a local copy of the constant value. This is true for constants of all the primitive types and of type

62. SPSS FAQ: How Do I Test A Group Of Variables In SPSS Regression? a Predictors (constant), science score, reading score, math score. ANOVA(b). aPredictors (constant), science score, reading score, math score. http://www.ats.ucla.edu/stat/spss/faq/reg_test.htm

Stat Computing SPSS FAQ SPSS FAQ How do I test a group of variable in SPSS regression? Suppose that you want to run a regression model and to test the statistical significance of a group of variables. For example, let's say that you want to predict student's writing score from their reading, math and science scores. The data set with these variables in it can be downloaded by following this link: hsb2.sav The SPSS code for this would be regression /dependent = write /method = enter read math science. Variables Entered/Removed(b) Model Variables Entered Variables Removed Method science score, reading score, math score(a) Enter a All requested variables entered. b Dependent Variable: writing score Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate .684(a) a Predictors: (Constant), science score, reading score, math score ANOVA(b) Model Sum of Squares df Mean Square F Sig. Regression .000(a) Residual Total a Predictors: (Constant), science score, reading score, math score b Dependent Variable: writing score Coefficients(a) Unstandardized Coefficients Standardized Coefficients t Sig.

63. Riverdeep | Destination Math | MSC V | Solving Simple Equations Learning Objectives, Balancing an equation. Isolating a variable byadding or subtracting a constant from both sides of the equation. http://www.riverdeep.net/math/destination_math/dm_tools/coursev/msc5_1.33.jhtml

Elementary (PreK-6) Middle School (6-9) High School (9-12) Destination Math ... edConnect To find support materials for other sessions in this course, you will need to select the module tab below and then the unit and session underneath. Course Unit 3 Simple Equations Session 3 Solving Simple Equations Learning Objectives Balancing an equation Isolating a variable by adding or subtracting a constant from both sides of the equation Multiplying or dividing both sides of an equation by the coefficient of the variable to solve the equation Checking a solution by substituting the value of a variable into the equation used to solve it Solve a two-step equation using inverse operations Overview Can Dijit work out the weight of the final truck to go on board the Equilibrium, and add the same weight of ballast to the other side of the cargo area to keep the ship balanced? Keywords equation, constant, coefficient, inverse operation, substitute, order of operations Question 1 Katie wants to calculate the height of Carver's Peak in Lone Wolf National Park. Objectives Balancing an equation Multiplying or dividing both sides of an equation by the coefficient of the variable to solve the equation Checking a solution by substituting the value of a variable into the equation used to solve it Difficulty Level: 1 Question 2 Clarence needs to calculate the distance from the entrance of Lone Wolf National Park to Snake Gulch.

64. World Web Math: Derivatives Of Polynomials In the above, c is a constant, and differentiability of the functions at the to theexercises Back to the Calculus page Back to the World Web math top page http://web.mit.edu/wwmath/calculus/differentiation/polynomials.html

Derivatives of Polynomials Suggested Prerequisites: Definition of differentiation Polynomials are some of the simplest functions we use. We need to know the derivatives of polynomials such as x x x x +6, and 2. Let's start with the easiest of these, the function y f x c , where c is any constant, such as 2, 15.4, or one million and four (10 +4). It turns out that the derivative of any constant function is zero. This makes sense if you think about the derivative as the slope of a tangent line. To use the definition of a derivative, with f x c For completeness, now consider y f x x . This is the equation of a straight line with slope 1, and we expect to find this from the definition of the derivative. We are not disappointed: Two things to note in the above: It may be tempting to ``cancel'' the term `` dx '' in the intermediate step. This is valid, but only in this simple case. It will never be as easy as this again, although it won't be much harder. Before going to the most general case, consider y f x x . This is the most basic parabola, as shown. The derivative of

65. World Web Math: Vector Calculus: Partial Differentiation So, f x =2x6xy. By treating x as a constant, we find f y =-3x 2 +3y 2 . SecondPartial Derivatives. Vector Calculus Index World Web math Main Page. http://web.mit.edu/wwmath/vectorc/scalar/partial.html

Partial Differentiation Prerequisites: Derivatives Bound as we humans are to three spacial dimensions, multi-variable functions can be very difficult to get a good feel for. (Try picturing a function in the 17th dimension and see how far you get!) We can at least make three-dimensional models of two-variable functions, but even then at a stretch to our intuition. What is needed is a way to cheat and look at multi-variable functions as if they were one-variable functions. We can do this by using partial functions . A partial function is a one-variable function obtained from a function of several variables by assigning constant values to all but one of the independent variables. What we are doing is taking two-dimensional "slices" of the surface represented by the equation. For Example: z x y can be modeled in three dimensional space, but personally I find it difficult to sketch! In the section on critical points a picture of a plot of this function can be found as an example of a saddle point. But by alternately setting x =1 (red)

66. Sapidyne Instruments: The Math Behind The Accurate Equilibrium Constants Determi Kd Mathematics Kd Mathematics The mathematical steps involved in relating fluorescentsignals from uncomplexed reactant to the equilibrium (affinity) constant. http://www.sapidyne.com/kdmath.html

About Us KinExA Technology Instrument Lines Applications ... Home You Are Here: Home KinExA Technology Kd Mathematics K d Mathematics The mathematical steps involved in relating fluorescent signals from uncomplexed reactant to the equilibrium (affinity) constant. We begin with a reversible biomolecular reaction: At equilibrium, the rate of AB complex formation is equal to the rate of dissociation, or: (1) k on [B][A] = k off [AB] Where: k on = forward rate constant [B] = receptor (antibody) binding site concentration [A] = ligand (antigen) binding site concentration k off = reverse rate constant [AB] = concentration of complex The equilibrium dissociation constant, K d , is defined as k off /k on , therefore: Where: K d = k off /k on From conservation of mass: (3) [A ] = [A] + [AB] Where: [A ] = Total ligand (antigen) binding site concentration and: (4) [B ] = [B] + [AB] Where: [B ] = Total receptor (antibody) binding site concentration Using equations (3) and (4) to express equation (2) in terms of [B ], [B], K

67. Dansmath - Lessons - Calculus 1 Features step by step lessons to introductory calculus. Included are function and precalculus preview Category Science math Calculus...... want to minimize D = /(x^2 + y^2) ; we can sub in y = A/x since A is constant. Thissite maintained by B L Web Design, a division of B L math Enterprises. http://home.earthlink.net/~djbach/calc.html

dansmath lessons calculus 1 Limits Differential Calculus (Check out the ANIMATION!) Integral Calculus (updated 3/99) Vector Calculus (top of page) Limits (Sequences, functions, graphs) What do the numbers 1/1, 1/2, 1/3, 1/4, 1/5, . . . get closer and closer to? It may be clear that they approach zero, so we say the limit is 0. The nth term is 1/n, so the notation is lim 1/n = 0. (The -> means "approaches"; the oo is a cheesy infinity symbol.) f(x) = lim 1/x = 0. On the graph we'd have a horizontal asymptote at y = since the output values approach as the graph goes off to the right. (Click here to review functions or graphing.) Example 1: [x+3] = 6. Example 2: Let g(x) = (x^2 - 9) / (x - 3) . By algebra, we have g(x) = (x + 3)(x - 3) / (x - 3) and if x =/= 3 then we can cancel, so g(x) = x + 3 if x =/= 3. Notice that f(3) = 6 but g(3) is undefined. The f(x) from example 1 has domain "all real numbers," but the g(x) from example 2 has domain "all reals except 3," so they're different functions. But the limit as x -> 3 is the same in both cases: lim f(x) = lim Example 3: Some other interesting limits: lim [(sin x) / x] = 1 lim [(1 + x)^(1/x)] = e = 2.71828 approx

68. BASIC Stamp Math: Multiply Times A Fixed Fraction Stamp II math note 1. multiplying a variable times a constant fraction.(c) 1998 EME Systems, Berkeley CA USA Tracy Allen stamp index home http://www.emesystems.com/BS2math1.htm

Stamp II math note #1 multiplying a variable times a constant fraction (c) 1998 EME Systems, Berkeley CA U.S.A. Tracy Allen stamp index home Contents (updated 04/29/2001) */ and ** operators for multiplying a variable times a fraction how it works a cookbook example, how to compute Y=X*1.2207 example using the RCtime command to determine and unknown capacitance example of Fahrenheit to Celsius conversion example, computation of a well-tempered musical scale */ and ** operators for multiplying a variable times a fraction, overview top To set the stage: Suppose you have a decimal fraction like 3.1214, or a rational fraction like 22/7=3+1/7. Either of those is an approximation to PI. The first is an approximation using a denominator of 10000: 3.1416=31416/10000. And 22/7 is a good approximation with a denominator of 7. 31416/10000 is a better approximation to PI, but it uses a much larger denominator. Think about making approximations using a denominator like 256 or 65536, which happen to be convenient exact powers of two (2^8 and 2^16). The principal of approximation is exactly the same as it is with a denominator of a power of 10. The best approximations to PI with those denominators are, 205888/65536=3+ 9280/65536, and 804/256=3+ 36/256. The approximation with 65536 as the denominator is better than with 256 as the denominator, for the same reason as 31416/100000 is better than 314/100. The BS2 */ and ** operators do exactly that: Y = X */ Z1 ' X is a variable, Z1 is a constant ' effectively forming the fraction Z1/256 ' the Stamp implicitly performs the division by 256 Y = X ** Z2 ' X is a variable, Z2 is a constant ' effectively forming the fraction Z2/65536 ' the Stamp implicitly performs the division by 65536

69. Feigenbaum's Universal Constant FEIGENBAUM'S UNIVERSAL constant it. Last updated 191197. Send commentsto berland(a)stud.math.ntnu.no © 1997 Back to homepage. http://www.stud.ntnu.no/~berland/math/feigenbaum/feigconstant.html

F EIGENBAUM'S UNIVERSAL CONSTANT Back to main page Back to homepage Send comment The short answer: However, noone should be satisfied by that. In fact, this number is perhaps the most fantastic aspect of this fractal. There are many many formulas that produce the same tree, but the number is always the same. It is said that mr. Mitchell Feigenbaum called home to his mother when he discovered this universality and said this was going to make him famous. The famous value, comes when you compare the length of one part of the tree, that is a parts between the line divisions/bifurcations. See illustration at right. The first part is from -0.25 to 0.75, and has a length of 1.00. The next part is from 0.75 to 1.25, and has a length of 0.50. The relationship between the two lengths is 1.00/0.50=2.00. Now that is far from the Feigenbaumvalue, but the exact value springs up when you compare two parts as far right as possible, as long as x follows a periodic orbit. I have graphically found the values for the first 6 bifurcations: Bifurc no. Divides at Length This length/next length -0.25 - - 1 0.75 L1=1.0 L1/L2=2.0 2 1.25 L2=0.5 L2/L3=4.25 3 1.3677 L3=0.1147 L3/L4=4.492 4 1.3939 L4=0.0262 L4/L5=4.6208 5 1.39957 L5=0.00567 L5/L6=4.536 6 1.40082 L6=0.00125 L6/L7=?

70. The VOICe Accessible Graphing Calculator .......The vOICe math Functions. Accessible Graphing Calculator for the Blind. Round,round( ), round(x) is rounded integer, as a real. constant, Syntax, http://www.seeingwithsound.com/winmath.htm

The vOICe Math Functions Accessible Graphing Calculator for the Blind The vOICe Home Page The vOICe Learning Edition software The auditory function plot option is to be used in combination with a suitable screen reader , using Control F2 to mute, if necessary. Pressing F8 opens the function plot dialog of the The vOICe's accessible graphing calculator. The dialog allows you to enter a function formula and set its x and y ranges, with optional function range fitting. Any user-defined function y of x gives an auditory function plot, or sound graph, with elevation y indicated by pitch in a left-to-right scan corresponding to a sweep of x. This procedure is in fact exactly the same as used with regular soundscapes of images, so there is no new or different mapping involved: it just corresponds to having a white curve on a black background, with the curve function specified by you. To give an illustration, the built-in example function 5*sin(x), or five times the sine of x, on an interval for x from -10 to +10, gives a sound as given in the following 44K soundscape file link. Note the extra fixed-pitch tone corresponding to the horizontal x axis, and the click in the middle corresponding to the vertical y axis.

71. Www.col-ed.org/cur/math/math06.txt the pattern puzzles, either using the calculator and the counting constant function,or well as calculator practice, set up as an independent math lab activity http://www.col-ed.org/cur/math/math06.txt

72. S.O.S. Math - Differential Equations math Sites on the WWW. SOS math Awards Who are we? Linear Independence and the Wronskian;Reduction of Order; Homogeneous Equations with constant Coefficients; http://www.sosmath.com/diffeq/diffeq.html

S.O.S. Homepage Algebra Trigonometry Calculus ... CyberBoard Search our site! S.O.S. Math on CD Sale! Only $19.95. Works for PCs, Macs and Linux. Tell a Friend about S.O.S. Books We Like Math Sites on the WWW S.O.S. Math Awards ... Modeling via Differential Equations First Order Differential Equations Linear Equations Separable Equations Qualitative Technique: Slope Fields Equilibria and the Phase Line ... Euler-Cauchy Equations Series Solutions Introduction Derivatives and Index Shifting First Examples Airy's Equation ... Hermite's Equation Higher Order Linear Equations Introduction and Basic Results Homogeneous Linear Equations with Constant Coefficients Non-Homogeneous Linear Equations Method of Undetermined Coefficients ... Method of Variation of Parameters Laplace Transform Basic Definitions and Results Application to Differential Equations Impulse Functions: Dirac Function Convolution Product ... Application of Fourier Series to Differential Equations APPENDIX Tables Contact us Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA users online during the last hour

73. Karsten Grosse-Brauckmann: Publications 77, 8995 (1992). New surfaces of constant mean curvature dvi math. Z. 214, 527565(1992). constant mean curvature gyroids - ps Exp. math. 6, 2138 (1997). http://www.math.uni-bonn.de/people/kgb/Public/public.html

K. Grosse-Brauckmann: Publications Interior and boundary monotonicity formulas for stationary harmonic maps Man. Math. 77, 8995 (1992) New surfaces of constant mean curvature dvi Math. Z. 214, 527565 (1992) Numerical examples of compact constant mean curvature surfaces with K. Polthier In: Elliptic and Parabolic Methods in Geometry (B. Chow, R. Gulliver, S. Levy, J. Sullivan, eds.), 2346, A K Peters, Wellesley (MA), 1996. Stable constant mean curvature surfaces minimize area dvi Pac. J. of Math. 175, 527534 (1996) The Gyroid is embedded and has constant mean curvature companions , with M. Wohlgemuth - ps (7 MB) Calc. Var. 4, 499523 (1996) Compact constant mean curvature surfaces with low genus , with K. Polthier Exp. Math. 6, 120 (1997) Constant mean curvature gyroids ps Exp. Math. 6, 2138 (1997) On gyroid interfaces ps (6 MB) J. Colloid and Interface Science 187, 418428 (1997) Constant mean curvature surfaces derived from Delaunay's and Wente's examples , with K. Polthier

74. Welcome To The Parallel Computer Section Of The University Of Bielefeld endwhere stat $push_local stat $localmatch local_cond ..,local_cond .., math stat constant block end http://www.physik.uni-bielefeld.de/theory/lib/libcont.html

Commands defined in /qx/qx/lib M.P.

75. MathematicsMysteries Star of David mathematics. Feyman and 37. Name Gematria. Leviation. JESUS,888, and 111 Geometry math. Fergerbaum constant and 3168. Equations. http://www.geocities.com/davidjayjordan/MathematicsMysteries.html

David Jay Jordan's Science Mysteries Homepage Earth Mysteries Sexual Mysteries ... Discussion Board Mathematics Mysteries Lord's Numbers Golden Section or Phi Phi Graphics and our Body Phi, Earth, Moon, Pyramid Graphics ... Phi, Speed of Light, 33, Connection Basic Flight Plans Advanced Flight E=MC2 Magic Squares and Searle's Flying Saucers Sound and Music Frequencies Board Flesh Spirit Equation LIX Number ... 33 Connects up Phi, crystals pyramids, frequencies, 33,with us and our Creator Absolute 33 Transmigration Teleporting Secret For exact frequency co-relations with sound and music, continue on to And to the woman was given two wings of a great eagle that she might ...FLY (Rev 12:14) There is nothing hid that shall not be revealed Free Energy flight Up-Coming Latitude Calculations for New Jerusalem Prophecy, Earth and Science Mysteries Giza-London-NewJerusalem-Phi Geographics Geography Bible Numerics Alpha-numeric A.C. 666 not 6-6-6 Music Frequency Light Speed Proves God's Design T.O.E. Equations Prove Creation ... 27, 28, 29 Steps to Flight Integrated science and spirituality Pentagrammaton and 444 Star of David Mathematics Feyman and 37 Name Gematria Leviation JESUS, 888, and 111

76. Math Explained. Energy Misdefined math Explained This that the rocket burns while accelerating themasses is determined as time of burn, since the fuel burns at a constant rate http://nov55.com/expln.html

77. Cynthia Lanius' Lesson: Stressed Out - Slope As Rate Of Change Well, a curved line will have more than one slope. It's not a constant like it wason the straight lines. Teachers' Notes More math Lessons from Cynthia Lanius. http://math.rice.edu/~lanius/Algebra/stress.html

Cynthia Lanius Pictured:The Yerkes-Dodson Law Stressed Out Slope as Rate of Change It's the night of the big game (or play). You're in the locker room (or dressing room). The coach (make that director) is pumping the team (cast) up. "Now, I know you people are nervous. That's okay, in fact, that's what we want. You're going to perform better on the court (stage) if you're a little nervous". Does the graph above confirm what the coach (director) told you? Here are some questions for you based upon the graph. Write a statement that describes performance as stress increases. Which part of the graph illustrates where stress is highest? What is performance at that point? Which part of the graph illustrates where performance is highest? Which part of the graph illustrates where performance is increasing? Which part of the graph illustrates where performance is decreasing? Notice that the graph is symmetric about a vertical line. What would you say this indicates about performance? What if this were a graph of your bank balance over a year. Describe what the graph would indicate about your saving and spending practices.

78. Renewal & Retirement Visit) Site Exits Links for math etc (Recommended) math HOWTOs Website Reviews. ASuggestion for Human Resources. Hiring for a constant or accelerated http://whyslopes.com/freeAccess/constant_retirement_rate.html

Appetizers and Lessons for Mathematics and Reason Site Areas: Volume 1, Elements of Reason Volume 1A, Pattern Based Reason Volume 1B, Mathematics Curriculum Notes Volume 2, Three Skills For Algebra Volume 3, Why Slopes and More Math 4 Lecons (Mathematiques et Logique) Complex Numbers Revisited Help Your Child Learn LaTeX2HotEqn Automation Order above Volumes via DoubleHook Book Store Order Volumes via PayPal (Credit Card) Order Volumes via OrderForm (Check/Money Order) Order Volumes (or contact author) via Email Key Pages: Feedback form] [ Study Tips Site Entrance ] [Member Area ( Visit Site Exits: Links for math etc (Recommended Math HOW-TOs Website Reviews Lessons Home 4. Square Roots 5. Straight Lines 6. Quadratics ... Why Show Work Essays Etc 6 Steps Instead of 9 9 Steps or Milestones Blue Boxes Gap Fillers ... Your Math Ed. Guide A Suggestion for Human Resources Hiring for a constant or accelerated retirement rate in for education and the public service as means to provide more flexibility in management and greater security to the last-in. Hiring for a constant or accelerated retirement rate may allow hiring in ways that reflect changing demographic circumstances.

79. News Tribune - Tuesday, August 27, 2002 Overall SAT scores remain constant math scoresincrease slightly, verbal scores dip By the Associated Press. http://newstribune.com/stories/082702/sta_0827020028.asp

Overall SAT scores remain constant Math scores increase slightly, verbal scores dip 08/27/02 MARKETPLACE Classifieds Merchandise/Garage Sales Employment Homebuyers Guide ... Yellow Pages NEWS Front Page Local News State News Weather ... Lottery HELP General Information Contact Us Home Delivery Tuesday, August 27, 2002 Overall SAT scores remain constant Math scores increase slightly, verbal scores dip By the Associated Press SAT scores for the high school class of 2002 were even with last year's graduates, as a two-point increase in math proficiency was offset by a two-point decrease on the language portion of the college entrance test. Figures released Tuesday by the College Board, the New York-based nonprofit which owns the SAT, reflect a cumulative score of 1,020 identical to the average achieved by the class of 2001. Test-takers averaged 504 on the verbal segment of the test and 516 on the math section. Gaston Caperton, the College Board president, noted math scores have increased by 15 points over the past 10 years, and attributed the gain to a renewed emphasis on mathematics in the nation's high schools. The College Board said 45 percent of this year's high school seniors took precalculus, compared to 12 percent in 1992. But Jeanne Allen, president of the Center for Education Reform, a Washington-based advocacy group, called the math results unimpressive. "The SAT has been restructured now so many times that even modest improvement in math scores, for example, doesn't mean much," she said.

80. Euler-Mascheroni Constant Bailey, D. H. ``Numerical Results on the Transcendence of constants Involving ,, and Euler's constant.'' math. Young, R. M. ``Euler's constant.'' math. Gaz. http://mathworld.pdox.net/math/e/e317.htm

Euler-Mascheroni Constant The Euler-Mascheroni constant is denoted (or sometimes ) and has the numerical value (Sloane's ). The Continued Fraction of the Euler-Mascheroni constant is [0, 1, 1, 2, 1, 2, 1, 4, 3, 13, 5, 1, 1, 8, 1, 2, 4, 1, 1, 40, ...] (Sloane's ). The first few Convergents are 1, 1/2, 3/5, 4/7, 11/19, 15/26, 71/123, 228/395, 3035/5258, 15403/26685, ... (Sloane's and ). The positions at which the digits 1, 2, ... first occur in the Continued Fraction are 2, 4, 9, 8, 11, 69, 24, 14, 139, 52, 22, ... (Sloane's ). The sequence of largest terms in the Continued Fraction is 1, 2, 4, 13, 40, 49, 65, 399, 2076, ... (Sloane's ), which occur at positions 2, 4, 8, 10, 20, 31, 34, 40, 529, ... (Sloane's It is not known if this constant is Irrational , let alone Transcendental . However, Conway and Guy (1996) are ``prepared to bet that it is transcendental,'' although they do not expect a proof to be achieved within their lifetimes. The Euler-Mascheroni constant arises in many integrals and sums where is the Riemann Zeta Function and are the Bernoulli Numbers . It is also given by the Euler Product where the product is over Primes . Another connection with the Primes was provided by Dirichlet's 1838 proof that the average number of Divisors of all numbers from 1 to is asymptotic to is divided by all Primes , then the average amount by which the Quotient is less than the next whole number is Infinite Products involving also arise from the G -Function with Positive Integer . The cases and give The Euler-Mascheroni constant is also given by the limits

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